September  2010, 14(2): 429-438. doi: 10.3934/dcdsb.2010.14.429

Carrying an inverted pendulum on a bumpy road

1. 

Departamento de Matemática Aplicada, Universidad de Valladolid, Spain

2. 

Departamento de Matematica Aplicada e IMUVA, Facultad de Ciencias, Universidad de Valladolid, Valladolid, Spain

Received  July 2009 Revised  October 2009 Published  June 2010

We study the stabilization by means of random impulses of an unstable linear oscillator. Almost sure exponential stability is proved for some combinations of the parameter values.
Citation: Mari Paz Calvo, Jesus M. Sanz-Serna. Carrying an inverted pendulum on a bumpy road. Discrete and Continuous Dynamical Systems - B, 2010, 14 (2) : 429-438. doi: 10.3934/dcdsb.2010.14.429
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